Modeling and detailed study of hybrid photovoltaic thermal (PV/T) solar collector

Khelifa, Abdelkrim; Touafek, K.; Moussa, Hocine Ben; Tabet, Ismail

doi:10.1016/j.solener.2016.05.048

Cited by 119 publications

(32 citation statements)

References 26 publications

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“…Moreover, the model neglects any possible interfacial thermal resistance between the layers of the collector. Such assumption is widely adopted in literature [21,25] and it is consistent with the PVT industrial manufacturing process which allows one to avoid any air gap between the different layers.…”

Section: Numerical Model Of the Collectormentioning

confidence: 97%

“…The adopted model assumptions imply that the transversal temperature gradients in each layer are negligible compared to the longitudinal ones [25,34]. In addition, in order to support this assumption, the Biot number [35] is also calculated for both glass cover and bottom aluminum substrate, considering the typical operation conditions of the collector.…”

Section: Numerical Model Of the Collectormentioning

confidence: 99%

“…The results show that the electrical energy production ranges from 222 to 532 kWh for the considered locations, and the solar contribution varies from 29% to 72%. Khelifa et al [25] presented a finite-difference model of a sheet and tube PVT collector based on energy balance equations and coupled differential equations. The hybrid PVT collector is investigated theoretically and experimentally, and the model is used to calculate fluid and collector temperatures.…”

Section: Introductionmentioning

confidence: 99%

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Experimental and Numerical Analyses of a Flat Plate Photovoltaic/Thermal Solar Collector

2017

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This paper presents a one-dimensional finite-volume model of an unglazed photovoltaic/thermal (PVT) solar collector. The unit consists of a conventional solar photovoltaic (PV) collector coupled with a suitable heat exchanger. In particular, the collector includes a roll bond heat exchanger and it is not equipped with back and frame insulation. The system is discretized along the flow direction (longitudinal) of the cogenerative collector. For each finite-volume element of the discretized computational domain, mass and energy balances are implemented. The collector geometry and materials parameters are taken from a commercially available device. An on-field experimental investigation is performed in order to validate the proposed model. The model is used to evaluate both electrical and thermodynamic parameters for each element of the domain and for fixed operating conditions. Finally, a sensitivity analysis is also performed in order to investigate the energetic performance of the cogenerative collector as a function of the main design/environmental parameters.

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Section: Numerical Model Of the Collectormentioning

confidence: 97%

Section: Numerical Model Of the Collectormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental and Numerical Analyses of a Flat Plate Photovoltaic/Thermal Solar Collector

2017

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“…Most of the modeling problems are reduced to the numerical solution of systems of differential equations in this system [34] and similar ones. Such studies can be exemplifi ed by modeling projects (based on numerical solutions) of hybrid solar photovoltaic-thermal systems [35][36][37][38], as well as by the projects on modeling the optimal strategy of heating control planning using green technologies based on wind energy [39]. Advanced intelligent tools for modeling daily distribution schedules include neural networks based on various control signal generation algorithms, such as described in [40,41].…”

Section: Introductionmentioning

confidence: 99%

Development and experimental verification of the mathematical model of thermal inertia for a branched heat supply system

Batukhtin¹,

Batukhtina²,

Bass³

et al. 2019

J Appl Eng Science

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The article describes a new method for making management decisions on heat supply in district heating systems, based on solving a sequence of recurrence relations of fi rst-order differential equations, enabling to synthesize daily schedules of heat supply in such systems. Using fi rst order differential equations, we implement real-time daily heat supply scheduling, predict the time-temperature dependence for heating water in the supply line, and we form a decision on the thermal energy delivery on the basis of this information. The effectiveness of our method is confi rmed by numerical modeling and comparative analysis of daily heat supply scheduling with the help of advanced intelligent decision making tools. For comparative analysis, we considered daily scheduling using a nonlinear regression model, a generalized regression neural network, a radial basis neural network, and a linear neural network. The effectiveness of our method was estimated on the basis of MAPE (mean absolute percentage error) and Accuracy coeffi cients. The model was recognized as most effective for which the MAPE value was maximum, and the Accuracy value tended to one hundred percent. Experimental studies showed that our proposed model has an advantage over the regression model by 1.68 times and over the neural models by more than 10.2 times when modeling for a hundred heating network sections. Thus, the main purpose of our study was to increase the accuracy of the method of making a managerial heat supply decision based on the experimental verifi cation of a mathematical model of thermal inertia of a branched district heating system.

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“…Most modeling problems are reduced to a numerical solution of a set of differential equations in this or similar system (Etter et al, 2004). Modeling projects of hybrid solar photoelectric heat systems (based on numerical solutions) can serve as an example of such studies (Khelifa et al, 2016;Gholampour & Ameri, 2015;Khelifa et al, 2015). The major drawback of such numerical solutions is that they cannot be used in more complex models.…”

Section: Introductionmentioning

confidence: 99%

Solving a Sequence of Recurrence Relations for First-Order Differential Equations

Batukhtin

Batukhtina

Bass

et al. 2017

EURASIA J MATH SCI T

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A whole category of engineering and economic problems can be reduced to solving a set of differential equations. Downsides of known approaches for their solutions include limited accuracy numerical methods with stringent requirements for computational power. A direct analytical solution should be derived to eliminate such flaws. This research intends to derive such a solution for an n-dimensional set of recurrence relations for first-order differential equations, linearly dependent on the right side. The research methodology relies on successive integration of the considered set in view of the initial conditions. The overall solution was derived as a sum of products of exponential multipliers with constant coefficients that are defined through weights of a tree graph, which is a descriptor of successive integration. An analytical solution for an n-dimensional set of recurrent differential equations in view of the initial conditions has been derived for the first time in this research.

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Modeling and detailed study of hybrid photovoltaic thermal (PV/T) solar collector

Cited by 119 publications

References 26 publications

Experimental and Numerical Analyses of a Flat Plate Photovoltaic/Thermal Solar Collector

Experimental and Numerical Analyses of a Flat Plate Photovoltaic/Thermal Solar Collector

Development and experimental verification of the mathematical model of thermal inertia for a branched heat supply system

Solving a Sequence of Recurrence Relations for First-Order Differential Equations

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